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The area of triangle formed by the verti...

The area of triangle formed by the vertices `(a, 1/a), (b, 1/b), (c, 1/c)` is

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The area of triangle formed by the vertices (a,(1)/(a)),(b,(1)/(b)) and (c,(1)/(c)) iS (a+b+c)/(abc) |((a-b)(b-c)(c-a))/(2abc)| (abc)/(a+b+c) (1)/(2)(a^(2)+b^(2)+c^(2))

The area of the triangle formed by the points (a,a^(2)),(b,b^(2)),(c,c^(2)) in square units is (1)/(2)|(a+b)(b+c)(c+a)| (1)/(2)|(a+b+c)abc| 1/2|(a-b)(b-c)(c-a)|

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Statement 1: The area of the triangle formed by the points A(1000,1002),B(1001,1004),C(1002,1003) is the same as the area formed by the point A'(0,0),B'(1,2),C'(2,1) statement 2: The area of the triangle is constant with respect to the translation of axes.